Finding the Third Proportional to 20,751 and 32,184

Step by Step Solution

1. Step 1: Write the proportion equation
   20,751 : 32,184 = 32,184 : x
2. Step 2: Convert to fraction form
   20,751/32,184 = 32,184/x
3. Step 3: Cross multiply
   20,751x = 32,184 × 32,184
4. Step 4: Simplify right side
   20,751x = 1,035,809,856
5. Step 5: Solve for x
   x = 1,035,809,856/20,751
6. Step 6: Final answer
   x = 49,916.14